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Contractibility of the automorphism group of a von Neumann algebra

Authors :
Ozawa, Narutaka
Publication Year :
2024

Abstract

We prove that the approximately inner automorphism group of a separable strongly stable von Neumann algebra is contractible in the u-topology. Thus the automorphism group of the hyperfinite III_1 factor is contractible.<br />Comment: 10 pages

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2412.17564
Document Type :
Working Paper